Circulant matrices and Galois-Togliatti systems

Pietro De Poi; Emilia Mezzetti; Mateusz Michałek; Rosa Maria Miró-Roig; Eran Nevo

doi:10.1016/j.jpaa.2020.106404

Circulant matrices and Galois-Togliatti systems

Pietro De Poi, Emilia Mezzetti, Mateusz Michałek^*, Rosa Maria Miró-Roig, Eran Nevo

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The goal of this article is to compare the coefficients in the expansion of the permanent with those in the expansion of the determinant of a three-lines circulant matrix. As an application we solve a conjecture stated in [17] concerning the minimality of GT-systems.

Original language	English
Article number	106404
Journal	Journal of Pure and Applied Algebra
Volume	224
Issue number	11
DOIs	https://doi.org/10.1016/j.jpaa.2020.106404
State	Published - Nov 2020

Bibliographical note

Publisher Copyright:
© 2020 Elsevier B.V.

Keywords

Circulant matrix
Laplace equations
Monomial ideals
Permanent
Togliatti systems
Weak Lefschetz property

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10.1016/j.jpaa.2020.106404

Cite this

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AU - Nevo, Eran

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KW - Weak Lefschetz property

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Circulant matrices and Galois-Togliatti systems

Abstract

Bibliographical note

Keywords

Access to Document

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